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Finding the Third Proportional to 57,291,899.50 and 90,868,509.50

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Solution

The third proportional to 57,291,899.50 and 90,868,509.50 is: 144,123,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,291,899.50 : 90,868,509.50 = 90,868,509.50 : x
  2. Step 2: Convert to fraction form
    57,291,899.50/90,868,509.50 = 90,868,509.50/x
  3. Step 3: Cross multiply
    57,291,899.50x = 90,868,509.50 × 90,868,509.50
  4. Step 4: Simplify right side
    57,291,899.50x = 8,257,086,018,751,590
  5. Step 5: Solve for x
    x = 8,257,086,018,751,590/57,291,899.50
  6. Step 6: Final answer
    x = 144,123,097.52

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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.