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Finding the Third Proportional to 164,790,396 and 249,306,507

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Solution

The third proportional to 164,790,396 and 249,306,507 is: 377,168,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790,396 : 249,306,507 = 249,306,507 : x
  2. Step 2: Convert to fraction form
    164,790,396/249,306,507 = 249,306,507/x
  3. Step 3: Cross multiply
    164,790,396x = 249,306,507 × 249,306,507
  4. Step 4: Simplify right side
    164,790,396x = 62,153,734,432,541,048
  5. Step 5: Solve for x
    x = 62,153,734,432,541,048/164,790,396
  6. Step 6: Final answer
    x = 377,168,426.93

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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.