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Finding the Third Proportional to 83,518,134 and 183,995,724

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Solution

The third proportional to 83,518,134 and 183,995,724 is: 405,354,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,518,134 : 183,995,724 = 183,995,724 : x
  2. Step 2: Convert to fraction form
    83,518,134/183,995,724 = 183,995,724/x
  3. Step 3: Cross multiply
    83,518,134x = 183,995,724 × 183,995,724
  4. Step 4: Simplify right side
    83,518,134x = 33,854,426,450,284,176
  5. Step 5: Solve for x
    x = 33,854,426,450,284,176/83,518,134
  6. Step 6: Final answer
    x = 405,354,200.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.