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Finding the Third Proportional to 254,337,461.16 and 547,646,601.66

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Solution

The third proportional to 254,337,461.16 and 547,646,601.66 is: 1,179,208,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,337,461.16 : 547,646,601.66 = 547,646,601.66 : x
  2. Step 2: Convert to fraction form
    254,337,461.16/547,646,601.66 = 547,646,601.66/x
  3. Step 3: Cross multiply
    254,337,461.16x = 547,646,601.66 × 547,646,601.66
  4. Step 4: Simplify right side
    254,337,461.16x = 299,916,800,305,628,416
  5. Step 5: Solve for x
    x = 299,916,800,305,628,416/254,337,461.16
  6. Step 6: Final answer
    x = 1,179,208,123.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.