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Finding the Third Proportional to 161,941,276 and 352,634,312

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Solution

The third proportional to 161,941,276 and 352,634,312 is: 767,876,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,941,276 : 352,634,312 = 352,634,312 : x
  2. Step 2: Convert to fraction form
    161,941,276/352,634,312 = 352,634,312/x
  3. Step 3: Cross multiply
    161,941,276x = 352,634,312 × 352,634,312
  4. Step 4: Simplify right side
    161,941,276x = 124,350,957,999,713,344
  5. Step 5: Solve for x
    x = 124,350,957,999,713,344/161,941,276
  6. Step 6: Final answer
    x = 767,876,856.79

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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.