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Finding the Third Proportional to 142,347,888 and 310,792,032

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Solution

The third proportional to 142,347,888 and 310,792,032 is: 678,560,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,347,888 : 310,792,032 = 310,792,032 : x
  2. Step 2: Convert to fraction form
    142,347,888/310,792,032 = 310,792,032/x
  3. Step 3: Cross multiply
    142,347,888x = 310,792,032 × 310,792,032
  4. Step 4: Simplify right side
    142,347,888x = 96,591,687,154,689,024
  5. Step 5: Solve for x
    x = 96,591,687,154,689,024/142,347,888
  6. Step 6: Final answer
    x = 678,560,732.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.