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Finding the Third Proportional to 83,376,135 and 181,105,159.50

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Solution

The third proportional to 83,376,135 and 181,105,159.50 is: 393,386,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,135 : 181,105,159.50 = 181,105,159.50 : x
  2. Step 2: Convert to fraction form
    83,376,135/181,105,159.50 = 181,105,159.50/x
  3. Step 3: Cross multiply
    83,376,135x = 181,105,159.50 × 181,105,159.50
  4. Step 4: Simplify right side
    83,376,135x = 32,799,078,797,520,440
  5. Step 5: Solve for x
    x = 32,799,078,797,520,440/83,376,135
  6. Step 6: Final answer
    x = 393,386,894.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.