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Finding the Third Proportional to 207,963,096 and 290,730,276

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Solution

The third proportional to 207,963,096 and 290,730,276 is: 406,437,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963,096 : 290,730,276 = 290,730,276 : x
  2. Step 2: Convert to fraction form
    207,963,096/290,730,276 = 290,730,276/x
  3. Step 3: Cross multiply
    207,963,096x = 290,730,276 × 290,730,276
  4. Step 4: Simplify right side
    207,963,096x = 84,524,093,383,036,176
  5. Step 5: Solve for x
    x = 84,524,093,383,036,176/207,963,096
  6. Step 6: Final answer
    x = 406,437,945.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.