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Finding the Third Proportional to 96,838,502 and 207,492,268

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Solution

The third proportional to 96,838,502 and 207,492,268 is: 444,585,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,502 : 207,492,268 = 207,492,268 : x
  2. Step 2: Convert to fraction form
    96,838,502/207,492,268 = 207,492,268/x
  3. Step 3: Cross multiply
    96,838,502x = 207,492,268 × 207,492,268
  4. Step 4: Simplify right side
    96,838,502x = 43,053,041,279,783,824
  5. Step 5: Solve for x
    x = 43,053,041,279,783,824/96,838,502
  6. Step 6: Final answer
    x = 444,585,989.98

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