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Finding the Third Proportional to 117,402,831 and 249,012,414

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Solution

The third proportional to 117,402,831 and 249,012,414 is: 528,157,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,402,831 : 249,012,414 = 249,012,414 : x
  2. Step 2: Convert to fraction form
    117,402,831/249,012,414 = 249,012,414/x
  3. Step 3: Cross multiply
    117,402,831x = 249,012,414 × 249,012,414
  4. Step 4: Simplify right side
    117,402,831x = 62,007,182,326,107,392
  5. Step 5: Solve for x
    x = 62,007,182,326,107,392/117,402,831
  6. Step 6: Final answer
    x = 528,157,471.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.