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Finding the Third Proportional to 82,352,136 and 109,789,932

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Solution

The third proportional to 82,352,136 and 109,789,932 is: 146,369,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352,136 : 109,789,932 = 109,789,932 : x
  2. Step 2: Convert to fraction form
    82,352,136/109,789,932 = 109,789,932/x
  3. Step 3: Cross multiply
    82,352,136x = 109,789,932 × 109,789,932
  4. Step 4: Simplify right side
    82,352,136x = 12,053,829,168,564,624
  5. Step 5: Solve for x
    x = 12,053,829,168,564,624/82,352,136
  6. Step 6: Final answer
    x = 146,369,356.69

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.