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Finding the Third Proportional to 136,908,711 and 322,863,256.13

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Solution

The third proportional to 136,908,711 and 322,863,256.13 is: 761,388,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908,711 : 322,863,256.13 = 322,863,256.13 : x
  2. Step 2: Convert to fraction form
    136,908,711/322,863,256.13 = 322,863,256.13/x
  3. Step 3: Cross multiply
    136,908,711x = 322,863,256.13 × 322,863,256.13
  4. Step 4: Simplify right side
    136,908,711x = 104,240,682,155,637,344
  5. Step 5: Solve for x
    x = 104,240,682,155,637,344/136,908,711
  6. Step 6: Final answer
    x = 761,388,237.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.