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Finding the Third Proportional to 83,338,429.50 and 182,812,545

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Solution

The third proportional to 83,338,429.50 and 182,812,545 is: 401,020,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,338,429.50 : 182,812,545 = 182,812,545 : x
  2. Step 2: Convert to fraction form
    83,338,429.50/182,812,545 = 182,812,545/x
  3. Step 3: Cross multiply
    83,338,429.50x = 182,812,545 × 182,812,545
  4. Step 4: Simplify right side
    83,338,429.50x = 33,420,426,609,377,024
  5. Step 5: Solve for x
    x = 33,420,426,609,377,024/83,338,429.50
  6. Step 6: Final answer
    x = 401,020,595.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.