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Finding the Third Proportional to 106,009,357.50 and 224,241,250.50

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Solution

The third proportional to 106,009,357.50 and 224,241,250.50 is: 474,336,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009,357.50 : 224,241,250.50 = 224,241,250.50 : x
  2. Step 2: Convert to fraction form
    106,009,357.50/224,241,250.50 = 224,241,250.50/x
  3. Step 3: Cross multiply
    106,009,357.50x = 224,241,250.50 × 224,241,250.50
  4. Step 4: Simplify right side
    106,009,357.50x = 50,284,138,425,803,752
  5. Step 5: Solve for x
    x = 50,284,138,425,803,752/106,009,357.50
  6. Step 6: Final answer
    x = 474,336,790.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.