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Finding the Third Proportional to 103,554,432 and 160,787,984

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Solution

The third proportional to 103,554,432 and 160,787,984 is: 249,653,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,554,432 : 160,787,984 = 160,787,984 : x
  2. Step 2: Convert to fraction form
    103,554,432/160,787,984 = 160,787,984/x
  3. Step 3: Cross multiply
    103,554,432x = 160,787,984 × 160,787,984
  4. Step 4: Simplify right side
    103,554,432x = 25,852,775,798,784,256
  5. Step 5: Solve for x
    x = 25,852,775,798,784,256/103,554,432
  6. Step 6: Final answer
    x = 249,653,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.