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Finding the Third Proportional to 136,066,694 and 210,115,287

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Solution

The third proportional to 136,066,694 and 210,115,287 is: 324,461,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,066,694 : 210,115,287 = 210,115,287 : x
  2. Step 2: Convert to fraction form
    136,066,694/210,115,287 = 210,115,287/x
  3. Step 3: Cross multiply
    136,066,694x = 210,115,287 × 210,115,287
  4. Step 4: Simplify right side
    136,066,694x = 44,148,433,831,092,368
  5. Step 5: Solve for x
    x = 44,148,433,831,092,368/136,066,694
  6. Step 6: Final answer
    x = 324,461,721.92

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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.