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Finding the Third Proportional to 72,053,200 and 106,174,032

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Solution

The third proportional to 72,053,200 and 106,174,032 is: 156,452,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,053,200 : 106,174,032 = 106,174,032 : x
  2. Step 2: Convert to fraction form
    72,053,200/106,174,032 = 106,174,032/x
  3. Step 3: Cross multiply
    72,053,200x = 106,174,032 × 106,174,032
  4. Step 4: Simplify right side
    72,053,200x = 11,272,925,071,137,024
  5. Step 5: Solve for x
    x = 11,272,925,071,137,024/72,053,200
  6. Step 6: Final answer
    x = 156,452,802.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.