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Finding the Third Proportional to 243,758,416.50 and 527,275,399.50

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Solution

The third proportional to 243,758,416.50 and 527,275,399.50 is: 1,140,552,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,758,416.50 : 527,275,399.50 = 527,275,399.50 : x
  2. Step 2: Convert to fraction form
    243,758,416.50/527,275,399.50 = 527,275,399.50/x
  3. Step 3: Cross multiply
    243,758,416.50x = 527,275,399.50 × 527,275,399.50
  4. Step 4: Simplify right side
    243,758,416.50x = 278,019,346,917,884,608
  5. Step 5: Solve for x
    x = 278,019,346,917,884,608/243,758,416.50
  6. Step 6: Final answer
    x = 1,140,552,810.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.