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Finding the Third Proportional to 57,291,900 and 90,868,509.75

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Solution

The third proportional to 57,291,900 and 90,868,509.75 is: 144,123,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291,900 : 90,868,509.75 = 90,868,509.75 : x
  2. Step 2: Convert to fraction form
    57,291,900/90,868,509.75 = 90,868,509.75/x
  3. Step 3: Cross multiply
    57,291,900x = 90,868,509.75 × 90,868,509.75
  4. Step 4: Simplify right side
    57,291,900x = 8,257,086,064,185,845
  5. Step 5: Solve for x
    x = 8,257,086,064,185,845/57,291,900
  6. Step 6: Final answer
    x = 144,123,097.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.