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Finding the Third Proportional to 96,680,106 and 153,340,643.25

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Solution

The third proportional to 96,680,106 and 153,340,643.25 is: 243,207,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,680,106 : 153,340,643.25 = 153,340,643.25 : x
  2. Step 2: Convert to fraction form
    96,680,106/153,340,643.25 = 153,340,643.25/x
  3. Step 3: Cross multiply
    96,680,106x = 153,340,643.25 × 153,340,643.25
  4. Step 4: Simplify right side
    96,680,106x = 23,513,352,872,323,772
  5. Step 5: Solve for x
    x = 23,513,352,872,323,772/96,680,106
  6. Step 6: Final answer
    x = 243,207,768.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.