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Finding the Third Proportional to 218,144,916 and 466,522,915.50

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Solution

The third proportional to 218,144,916 and 466,522,915.50 is: 997,702,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,144,916 : 466,522,915.50 = 466,522,915.50 : x
  2. Step 2: Convert to fraction form
    218,144,916/466,522,915.50 = 466,522,915.50/x
  3. Step 3: Cross multiply
    218,144,916x = 466,522,915.50 × 466,522,915.50
  4. Step 4: Simplify right side
    218,144,916x = 217,643,630,686,620,128
  5. Step 5: Solve for x
    x = 217,643,630,686,620,128/218,144,916
  6. Step 6: Final answer
    x = 997,702,053.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.