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Finding the Third Proportional to 161,367,648 and 242,216,712

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Solution

The third proportional to 161,367,648 and 242,216,712 is: 363,573,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,367,648 : 242,216,712 = 242,216,712 : x
  2. Step 2: Convert to fraction form
    161,367,648/242,216,712 = 242,216,712/x
  3. Step 3: Cross multiply
    161,367,648x = 242,216,712 × 242,216,712
  4. Step 4: Simplify right side
    161,367,648x = 58,668,935,572,090,944
  5. Step 5: Solve for x
    x = 58,668,935,572,090,944/161,367,648
  6. Step 6: Final answer
    x = 363,573,097.21

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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.