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Finding the Third Proportional to 103,316,472,067 and 160,414,297,448

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Solution

The third proportional to 103,316,472,067 and 160,414,297,448 is: 249,067,223,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,316,472,067 : 160,414,297,448 = 160,414,297,448 : x
  2. Step 2: Convert to fraction form
    103,316,472,067/160,414,297,448 = 160,414,297,448/x
  3. Step 3: Cross multiply
    103,316,472,067x = 160,414,297,448 × 160,414,297,448
  4. Step 4: Simplify right side
    103,316,472,067x = 25,732,746,825,735,417,626,624
  5. Step 5: Solve for x
    x = 25,732,746,825,735,417,626,624/103,316,472,067
  6. Step 6: Final answer
    x = 249,067,223,366.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.