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Finding the Third Proportional to 84,912,960 and 185,197,572

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Solution

The third proportional to 84,912,960 and 185,197,572 is: 403,921,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,960 : 185,197,572 = 185,197,572 : x
  2. Step 2: Convert to fraction form
    84,912,960/185,197,572 = 185,197,572/x
  3. Step 3: Cross multiply
    84,912,960x = 185,197,572 × 185,197,572
  4. Step 4: Simplify right side
    84,912,960x = 34,298,140,674,695,184
  5. Step 5: Solve for x
    x = 34,298,140,674,695,184/84,912,960
  6. Step 6: Final answer
    x = 403,921,152.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.