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Finding the Third Proportional to 136,117,050 and 209,221,660

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Solution

The third proportional to 136,117,050 and 209,221,660 is: 321,588,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,050 : 209,221,660 = 209,221,660 : x
  2. Step 2: Convert to fraction form
    136,117,050/209,221,660 = 209,221,660/x
  3. Step 3: Cross multiply
    136,117,050x = 209,221,660 × 209,221,660
  4. Step 4: Simplify right side
    136,117,050x = 43,773,703,013,155,600
  5. Step 5: Solve for x
    x = 43,773,703,013,155,600/136,117,050
  6. Step 6: Final answer
    x = 321,588,684.25

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Why These Related Problems?

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