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Finding the Third Proportional to 102,767,724 and 139,975,932

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Solution

The third proportional to 102,767,724 and 139,975,932 is: 190,655,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767,724 : 139,975,932 = 139,975,932 : x
  2. Step 2: Convert to fraction form
    102,767,724/139,975,932 = 139,975,932/x
  3. Step 3: Cross multiply
    102,767,724x = 139,975,932 × 139,975,932
  4. Step 4: Simplify right side
    102,767,724x = 19,593,261,539,268,624
  5. Step 5: Solve for x
    x = 19,593,261,539,268,624/102,767,724
  6. Step 6: Final answer
    x = 190,655,789.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.