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Finding the Third Proportional to 65,215,560.38 and 140,645,565

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Solution

The third proportional to 65,215,560.38 and 140,645,565 is: 303,319,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215,560.38 : 140,645,565 = 140,645,565 : x
  2. Step 2: Convert to fraction form
    65,215,560.38/140,645,565 = 140,645,565/x
  3. Step 3: Cross multiply
    65,215,560.38x = 140,645,565 × 140,645,565
  4. Step 4: Simplify right side
    65,215,560.38x = 19,781,174,954,169,224
  5. Step 5: Solve for x
    x = 19,781,174,954,169,224/65,215,560.38
  6. Step 6: Final answer
    x = 303,319,864.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.