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Finding the Third Proportional to 126,510,830 and 191,114,166

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Solution

The third proportional to 126,510,830 and 191,114,166 is: 288,707,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,510,830 : 191,114,166 = 191,114,166 : x
  2. Step 2: Convert to fraction form
    126,510,830/191,114,166 = 191,114,166/x
  3. Step 3: Cross multiply
    126,510,830x = 191,114,166 × 191,114,166
  4. Step 4: Simplify right side
    126,510,830x = 36,524,624,445,875,552
  5. Step 5: Solve for x
    x = 36,524,624,445,875,552/126,510,830
  6. Step 6: Final answer
    x = 288,707,492.05

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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.