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Finding the Third Proportional to 259,727,157 and 571,398,844.50

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Solution

The third proportional to 259,727,157 and 571,398,844.50 is: 1,257,075,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727,157 : 571,398,844.50 = 571,398,844.50 : x
  2. Step 2: Convert to fraction form
    259,727,157/571,398,844.50 = 571,398,844.50/x
  3. Step 3: Cross multiply
    259,727,157x = 571,398,844.50 × 571,398,844.50
  4. Step 4: Simplify right side
    259,727,157x = 326,496,639,495,935,168
  5. Step 5: Solve for x
    x = 326,496,639,495,935,168/259,727,157
  6. Step 6: Final answer
    x = 1,257,075,475.92

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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.