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Finding the Third Proportional to 534,217,798.50 and 1,160,398,158

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Solution

The third proportional to 534,217,798.50 and 1,160,398,158 is: 2,520,552,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,217,798.50 : 1,160,398,158 = 1,160,398,158 : x
  2. Step 2: Convert to fraction form
    534,217,798.50/1,160,398,158 = 1,160,398,158/x
  3. Step 3: Cross multiply
    534,217,798.50x = 1,160,398,158 × 1,160,398,158
  4. Step 4: Simplify right side
    534,217,798.50x = 1,346,523,885,089,793,024
  5. Step 5: Solve for x
    x = 1,346,523,885,089,793,024/534,217,798.50
  6. Step 6: Final answer
    x = 2,520,552,270.76

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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.