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Finding the Third Proportional to 83,637,819 and 181,173,658.50

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Solution

The third proportional to 83,637,819 and 181,173,658.50 is: 392,452,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,637,819 : 181,173,658.50 = 181,173,658.50 : x
  2. Step 2: Convert to fraction form
    83,637,819/181,173,658.50 = 181,173,658.50/x
  3. Step 3: Cross multiply
    83,637,819x = 181,173,658.50 × 181,173,658.50
  4. Step 4: Simplify right side
    83,637,819x = 32,823,894,534,274,624
  5. Step 5: Solve for x
    x = 32,823,894,534,274,624/83,637,819
  6. Step 6: Final answer
    x = 392,452,779.46

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Why These Related Problems?

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