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Finding the Third Proportional to 160,606,236,300 and 240,272,580,516

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Solution

The third proportional to 160,606,236,300 and 240,272,580,516 is: 359,456,234,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,606,236,300 : 240,272,580,516 = 240,272,580,516 : x
  2. Step 2: Convert to fraction form
    160,606,236,300/240,272,580,516 = 240,272,580,516/x
  3. Step 3: Cross multiply
    160,606,236,300x = 240,272,580,516 × 240,272,580,516
  4. Step 4: Simplify right side
    160,606,236,300x = 57,730,912,947,817,704,062,976
  5. Step 5: Solve for x
    x = 57,730,912,947,817,704,062,976/160,606,236,300
  6. Step 6: Final answer
    x = 359,456,234,563.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.