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Finding the Third Proportional to 95,335,767 and 202,113,711

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Solution

The third proportional to 95,335,767 and 202,113,711 is: 428,485,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,335,767 : 202,113,711 = 202,113,711 : x
  2. Step 2: Convert to fraction form
    95,335,767/202,113,711 = 202,113,711/x
  3. Step 3: Cross multiply
    95,335,767x = 202,113,711 × 202,113,711
  4. Step 4: Simplify right side
    95,335,767x = 40,849,952,174,191,520
  5. Step 5: Solve for x
    x = 40,849,952,174,191,520/95,335,767
  6. Step 6: Final answer
    x = 428,485,063.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.