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Finding the Third Proportional to 215,655,696 and 472,362,202.13

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Solution

The third proportional to 215,655,696 and 472,362,202.13 is: 1,034,640,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,655,696 : 472,362,202.13 = 472,362,202.13 : x
  2. Step 2: Convert to fraction form
    215,655,696/472,362,202.13 = 472,362,202.13/x
  3. Step 3: Cross multiply
    215,655,696x = 472,362,202.13 × 472,362,202.13
  4. Step 4: Simplify right side
    215,655,696x = 223,126,049,996,379,360
  5. Step 5: Solve for x
    x = 223,126,049,996,379,360/215,655,696
  6. Step 6: Final answer
    x = 1,034,640,188.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.