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Finding the Third Proportional to 164,790,344 and 249,306,420

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Solution

The third proportional to 164,790,344 and 249,306,420 is: 377,168,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790,344 : 249,306,420 = 249,306,420 : x
  2. Step 2: Convert to fraction form
    164,790,344/249,306,420 = 249,306,420/x
  3. Step 3: Cross multiply
    164,790,344x = 249,306,420 × 249,306,420
  4. Step 4: Simplify right side
    164,790,344x = 62,153,691,053,216,400
  5. Step 5: Solve for x
    x = 62,153,691,053,216,400/164,790,344
  6. Step 6: Final answer
    x = 377,168,282.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.