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Finding the Third Proportional to 213,918,254.50 and 468,846,040

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Solution

The third proportional to 213,918,254.50 and 468,846,040 is: 1,027,572,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,918,254.50 : 468,846,040 = 468,846,040 : x
  2. Step 2: Convert to fraction form
    213,918,254.50/468,846,040 = 468,846,040/x
  3. Step 3: Cross multiply
    213,918,254.50x = 468,846,040 × 468,846,040
  4. Step 4: Simplify right side
    213,918,254.50x = 219,816,609,223,681,600
  5. Step 5: Solve for x
    x = 219,816,609,223,681,600/213,918,254.50
  6. Step 6: Final answer
    x = 1,027,572,937.79

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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.