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Finding the Third Proportional to 117,234,275.98 and 249,631,023.02

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Solution

The third proportional to 117,234,275.98 and 249,631,023.02 is: 531,548,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,234,275.98 : 249,631,023.02 = 249,631,023.02 : x
  2. Step 2: Convert to fraction form
    117,234,275.98/249,631,023.02 = 249,631,023.02/x
  3. Step 3: Cross multiply
    117,234,275.98x = 249,631,023.02 × 249,631,023.02
  4. Step 4: Simplify right side
    117,234,275.98x = 62,315,647,655,729,232
  5. Step 5: Solve for x
    x = 62,315,647,655,729,232/117,234,275.98
  6. Step 6: Final answer
    x = 531,548,023.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.