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Finding the Third Proportional to 109,802,819 and 146,386,564

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Solution

The third proportional to 109,802,819 and 146,386,564 is: 195,159,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802,819 : 146,386,564 = 146,386,564 : x
  2. Step 2: Convert to fraction form
    109,802,819/146,386,564 = 146,386,564/x
  3. Step 3: Cross multiply
    109,802,819x = 146,386,564 × 146,386,564
  4. Step 4: Simplify right side
    109,802,819x = 21,429,026,119,726,096
  5. Step 5: Solve for x
    x = 21,429,026,119,726,096/109,802,819
  6. Step 6: Final answer
    x = 195,159,161.80

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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.