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Finding the Third Proportional to 68,722,897.50 and 96,129,794.25

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Solution

The third proportional to 68,722,897.50 and 96,129,794.25 is: 134,466,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,722,897.50 : 96,129,794.25 = 96,129,794.25 : x
  2. Step 2: Convert to fraction form
    68,722,897.50/96,129,794.25 = 96,129,794.25/x
  3. Step 3: Cross multiply
    68,722,897.50x = 96,129,794.25 × 96,129,794.25
  4. Step 4: Simplify right side
    68,722,897.50x = 9,240,937,342,547,334
  5. Step 5: Solve for x
    x = 9,240,937,342,547,334/68,722,897.50
  6. Step 6: Final answer
    x = 134,466,643.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.