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Finding the Third Proportional to 111,440,207 and 234,160,798

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Solution

The third proportional to 111,440,207 and 234,160,798 is: 492,024,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,440,207 : 234,160,798 = 234,160,798 : x
  2. Step 2: Convert to fraction form
    111,440,207/234,160,798 = 234,160,798/x
  3. Step 3: Cross multiply
    111,440,207x = 234,160,798 × 234,160,798
  4. Step 4: Simplify right side
    111,440,207x = 54,831,279,319,996,800
  5. Step 5: Solve for x
    x = 54,831,279,319,996,800/111,440,207
  6. Step 6: Final answer
    x = 492,024,205.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.