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Finding the Third Proportional to 164,790,342 and 249,306,417

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Solution

The third proportional to 164,790,342 and 249,306,417 is: 377,168,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790,342 : 249,306,417 = 249,306,417 : x
  2. Step 2: Convert to fraction form
    164,790,342/249,306,417 = 249,306,417/x
  3. Step 3: Cross multiply
    164,790,342x = 249,306,417 × 249,306,417
  4. Step 4: Simplify right side
    164,790,342x = 62,153,689,557,377,888
  5. Step 5: Solve for x
    x = 62,153,689,557,377,888/164,790,342
  6. Step 6: Final answer
    x = 377,168,278.21

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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.