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Finding the Third Proportional to 42,087,235.50 and 90,440,230.50

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Solution

The third proportional to 42,087,235.50 and 90,440,230.50 is: 194,344,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,087,235.50 : 90,440,230.50 = 90,440,230.50 : x
  2. Step 2: Convert to fraction form
    42,087,235.50/90,440,230.50 = 90,440,230.50/x
  3. Step 3: Cross multiply
    42,087,235.50x = 90,440,230.50 × 90,440,230.50
  4. Step 4: Simplify right side
    42,087,235.50x = 8,179,435,292,893,130
  5. Step 5: Solve for x
    x = 8,179,435,292,893,130/42,087,235.50
  6. Step 6: Final answer
    x = 194,344,798.27

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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.