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Finding the Third Proportional to 249,811,848 and 541,326,366

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Solution

The third proportional to 249,811,848 and 541,326,366 is: 1,173,019,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,811,848 : 541,326,366 = 541,326,366 : x
  2. Step 2: Convert to fraction form
    249,811,848/541,326,366 = 541,326,366/x
  3. Step 3: Cross multiply
    249,811,848x = 541,326,366 × 541,326,366
  4. Step 4: Simplify right side
    249,811,848x = 293,034,234,526,765,952
  5. Step 5: Solve for x
    x = 293,034,234,526,765,952/249,811,848
  6. Step 6: Final answer
    x = 1,173,019,762.16

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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.