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Finding the Third Proportional to 136,117,046 and 209,221,654

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Solution

The third proportional to 136,117,046 and 209,221,654 is: 321,588,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,046 : 209,221,654 = 209,221,654 : x
  2. Step 2: Convert to fraction form
    136,117,046/209,221,654 = 209,221,654/x
  3. Step 3: Cross multiply
    136,117,046x = 209,221,654 × 209,221,654
  4. Step 4: Simplify right side
    136,117,046x = 43,773,700,502,495,712
  5. Step 5: Solve for x
    x = 43,773,700,502,495,712/136,117,046
  6. Step 6: Final answer
    x = 321,588,675.25

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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.