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Finding the Third Proportional to 93,575,785.50 and 208,667,641.50

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Solution

The third proportional to 93,575,785.50 and 208,667,641.50 is: 465,314,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,575,785.50 : 208,667,641.50 = 208,667,641.50 : x
  2. Step 2: Convert to fraction form
    93,575,785.50/208,667,641.50 = 208,667,641.50/x
  3. Step 3: Cross multiply
    93,575,785.50x = 208,667,641.50 × 208,667,641.50
  4. Step 4: Simplify right side
    93,575,785.50x = 43,542,184,609,172,520
  5. Step 5: Solve for x
    x = 43,542,184,609,172,520/93,575,785.50
  6. Step 6: Final answer
    x = 465,314,657.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.