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Finding the Third Proportional to 66,773,691.75 and 144,968,292

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Solution

The third proportional to 66,773,691.75 and 144,968,292 is: 314,731,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,773,691.75 : 144,968,292 = 144,968,292 : x
  2. Step 2: Convert to fraction form
    66,773,691.75/144,968,292 = 144,968,292/x
  3. Step 3: Cross multiply
    66,773,691.75x = 144,968,292 × 144,968,292
  4. Step 4: Simplify right side
    66,773,691.75x = 21,015,805,685,397,264
  5. Step 5: Solve for x
    x = 21,015,805,685,397,264/66,773,691.75
  6. Step 6: Final answer
    x = 314,731,822.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.