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Finding the Third Proportional to 164,261,304 and 360,645,264

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Solution

The third proportional to 164,261,304 and 360,645,264 is: 791,817,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261,304 : 360,645,264 = 360,645,264 : x
  2. Step 2: Convert to fraction form
    164,261,304/360,645,264 = 360,645,264/x
  3. Step 3: Cross multiply
    164,261,304x = 360,645,264 × 360,645,264
  4. Step 4: Simplify right side
    164,261,304x = 130,065,006,445,629,696
  5. Step 5: Solve for x
    x = 130,065,006,445,629,696/164,261,304
  6. Step 6: Final answer
    x = 791,817,690.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.