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Finding the Third Proportional to 215,814,435.75 and 474,675,592.50

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Solution

The third proportional to 215,814,435.75 and 474,675,592.50 is: 1,044,030,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,814,435.75 : 474,675,592.50 = 474,675,592.50 : x
  2. Step 2: Convert to fraction form
    215,814,435.75/474,675,592.50 = 474,675,592.50/x
  3. Step 3: Cross multiply
    215,814,435.75x = 474,675,592.50 × 474,675,592.50
  4. Step 4: Simplify right side
    215,814,435.75x = 225,316,918,115,226,048
  5. Step 5: Solve for x
    x = 225,316,918,115,226,048/215,814,435.75
  6. Step 6: Final answer
    x = 1,044,030,800.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.