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Finding the Third Proportional to 65,281,788 and 98,762,295

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Solution

The third proportional to 65,281,788 and 98,762,295 is: 149,413,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281,788 : 98,762,295 = 98,762,295 : x
  2. Step 2: Convert to fraction form
    65,281,788/98,762,295 = 98,762,295/x
  3. Step 3: Cross multiply
    65,281,788x = 98,762,295 × 98,762,295
  4. Step 4: Simplify right side
    65,281,788x = 9,753,990,913,667,024
  5. Step 5: Solve for x
    x = 9,753,990,913,667,024/65,281,788
  6. Step 6: Final answer
    x = 149,413,660.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.