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Finding the Third Proportional to 65,531,284 and 141,966,948

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Solution

The third proportional to 65,531,284 and 141,966,948 is: 307,557,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531,284 : 141,966,948 = 141,966,948 : x
  2. Step 2: Convert to fraction form
    65,531,284/141,966,948 = 141,966,948/x
  3. Step 3: Cross multiply
    65,531,284x = 141,966,948 × 141,966,948
  4. Step 4: Simplify right side
    65,531,284x = 20,154,614,324,434,704
  5. Step 5: Solve for x
    x = 20,154,614,324,434,704/65,531,284
  6. Step 6: Final answer
    x = 307,557,140.56

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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.