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Finding the Third Proportional to 163,172,071 and 253,029,887.50

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Solution

The third proportional to 163,172,071 and 253,029,887.50 is: 392,371,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,172,071 : 253,029,887.50 = 253,029,887.50 : x
  2. Step 2: Convert to fraction form
    163,172,071/253,029,887.50 = 253,029,887.50/x
  3. Step 3: Cross multiply
    163,172,071x = 253,029,887.50 × 253,029,887.50
  4. Step 4: Simplify right side
    163,172,071x = 64,024,123,968,262,656
  5. Step 5: Solve for x
    x = 64,024,123,968,262,656/163,172,071
  6. Step 6: Final answer
    x = 392,371,829.17

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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.