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Finding the Third Proportional to 161,941,266 and 352,634,292

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Solution

The third proportional to 161,941,266 and 352,634,292 is: 767,876,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,941,266 : 352,634,292 = 352,634,292 : x
  2. Step 2: Convert to fraction form
    161,941,266/352,634,292 = 352,634,292/x
  3. Step 3: Cross multiply
    161,941,266x = 352,634,292 × 352,634,292
  4. Step 4: Simplify right side
    161,941,266x = 124,350,943,894,341,264
  5. Step 5: Solve for x
    x = 124,350,943,894,341,264/161,941,266
  6. Step 6: Final answer
    x = 767,876,817.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.