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Finding the Third Proportional to 65,531,376 and 109,205,862.75

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Solution

The third proportional to 65,531,376 and 109,205,862.75 is: 181,987,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,531,376 : 109,205,862.75 = 109,205,862.75 : x
  2. Step 2: Convert to fraction form
    65,531,376/109,205,862.75 = 109,205,862.75/x
  3. Step 3: Cross multiply
    65,531,376x = 109,205,862.75 × 109,205,862.75
  4. Step 4: Simplify right side
    65,531,376x = 11,925,920,458,971,838
  5. Step 5: Solve for x
    x = 11,925,920,458,971,838/65,531,376
  6. Step 6: Final answer
    x = 181,987,945.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.