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Finding the Third Proportional to 81,643,153,302 and 113,518,278,763.75

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Solution

The third proportional to 81,643,153,302 and 113,518,278,763.75 is: 157,838,092,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643,153,302 : 113,518,278,763.75 = 113,518,278,763.75 : x
  2. Step 2: Convert to fraction form
    81,643,153,302/113,518,278,763.75 = 113,518,278,763.75/x
  3. Step 3: Cross multiply
    81,643,153,302x = 113,518,278,763.75 × 113,518,278,763.75
  4. Step 4: Simplify right side
    81,643,153,302x = 12,886,399,613,484,455,165,952
  5. Step 5: Solve for x
    x = 12,886,399,613,484,455,165,952/81,643,153,302
  6. Step 6: Final answer
    x = 157,838,092,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.