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Finding the Third Proportional to 55,367,100 and 121,156,227

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Solution

The third proportional to 55,367,100 and 121,156,227 is: 265,118,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,367,100 : 121,156,227 = 121,156,227 : x
  2. Step 2: Convert to fraction form
    55,367,100/121,156,227 = 121,156,227/x
  3. Step 3: Cross multiply
    55,367,100x = 121,156,227 × 121,156,227
  4. Step 4: Simplify right side
    55,367,100x = 14,678,831,340,875,528
  5. Step 5: Solve for x
    x = 14,678,831,340,875,528/55,367,100
  6. Step 6: Final answer
    x = 265,118,298.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.