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Finding the Third Proportional to 249,807,867.75 and 541,317,228.75

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Solution

The third proportional to 249,807,867.75 and 541,317,228.75 is: 1,172,998,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,807,867.75 : 541,317,228.75 = 541,317,228.75 : x
  2. Step 2: Convert to fraction form
    249,807,867.75/541,317,228.75 = 541,317,228.75/x
  3. Step 3: Cross multiply
    249,807,867.75x = 541,317,228.75 × 541,317,228.75
  4. Step 4: Simplify right side
    249,807,867.75x = 293,024,342,141,579,840
  5. Step 5: Solve for x
    x = 293,024,342,141,579,840/249,807,867.75
  6. Step 6: Final answer
    x = 1,172,998,852.20

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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.