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Finding the Third Proportional to 92,356,904.25 and 200,789,488.50

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Solution

The third proportional to 92,356,904.25 and 200,789,488.50 is: 436,528,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356,904.25 : 200,789,488.50 = 200,789,488.50 : x
  2. Step 2: Convert to fraction form
    92,356,904.25/200,789,488.50 = 200,789,488.50/x
  3. Step 3: Cross multiply
    92,356,904.25x = 200,789,488.50 × 200,789,488.50
  4. Step 4: Simplify right side
    92,356,904.25x = 40,316,418,692,091,632
  5. Step 5: Solve for x
    x = 40,316,418,692,091,632/92,356,904.25
  6. Step 6: Final answer
    x = 436,528,476.34

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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.