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Finding the Third Proportional to 65,435,591.25 and 141,776,523

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Solution

The third proportional to 65,435,591.25 and 141,776,523 is: 307,181,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,591.25 : 141,776,523 = 141,776,523 : x
  2. Step 2: Convert to fraction form
    65,435,591.25/141,776,523 = 141,776,523/x
  3. Step 3: Cross multiply
    65,435,591.25x = 141,776,523 × 141,776,523
  4. Step 4: Simplify right side
    65,435,591.25x = 20,100,582,473,969,528
  5. Step 5: Solve for x
    x = 20,100,582,473,969,528/65,435,591.25
  6. Step 6: Final answer
    x = 307,181,185.19

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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.