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Finding the Third Proportional to 197,972,158 and 299,506,288

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Solution

The third proportional to 197,972,158 and 299,506,288 is: 453,114,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,972,158 : 299,506,288 = 299,506,288 : x
  2. Step 2: Convert to fraction form
    197,972,158/299,506,288 = 299,506,288/x
  3. Step 3: Cross multiply
    197,972,158x = 299,506,288 × 299,506,288
  4. Step 4: Simplify right side
    197,972,158x = 89,704,016,551,538,944
  5. Step 5: Solve for x
    x = 89,704,016,551,538,944/197,972,158
  6. Step 6: Final answer
    x = 453,114,303.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.