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Finding the Third Proportional to 92,715,062,742.52 and 200,832,927,474.80

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Solution

The third proportional to 92,715,062,742.52 and 200,832,927,474.80 is: 435,030,334,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,715,062,742.52 : 200,832,927,474.80 = 200,832,927,474.80 : x
  2. Step 2: Convert to fraction form
    92,715,062,742.52/200,832,927,474.80 = 200,832,927,474.80/x
  3. Step 3: Cross multiply
    92,715,062,742.52x = 200,832,927,474.80 × 200,832,927,474.80
  4. Step 4: Simplify right side
    92,715,062,742.52x = 40,333,864,758,098,268,258,304
  5. Step 5: Solve for x
    x = 40,333,864,758,098,268,258,304/92,715,062,742.52
  6. Step 6: Final answer
    x = 435,030,334,500.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.