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Finding the Third Proportional to 117,151,416 and 243,999,288

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Solution

The third proportional to 117,151,416 and 243,999,288 is: 508,194,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,151,416 : 243,999,288 = 243,999,288 : x
  2. Step 2: Convert to fraction form
    117,151,416/243,999,288 = 243,999,288/x
  3. Step 3: Cross multiply
    117,151,416x = 243,999,288 × 243,999,288
  4. Step 4: Simplify right side
    117,151,416x = 59,535,652,544,506,944
  5. Step 5: Solve for x
    x = 59,535,652,544,506,944/117,151,416
  6. Step 6: Final answer
    x = 508,194,049.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.