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Finding the Third Proportional to 136,117,010 and 209,221,599

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Solution

The third proportional to 136,117,010 and 209,221,599 is: 321,588,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,010 : 209,221,599 = 209,221,599 : x
  2. Step 2: Convert to fraction form
    136,117,010/209,221,599 = 209,221,599/x
  3. Step 3: Cross multiply
    136,117,010x = 209,221,599 × 209,221,599
  4. Step 4: Simplify right side
    136,117,010x = 43,773,677,488,116,800
  5. Step 5: Solve for x
    x = 43,773,677,488,116,800/136,117,010
  6. Step 6: Final answer
    x = 321,588,591.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.