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Finding the Third Proportional to 96,838,509 and 207,492,282

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Solution

The third proportional to 96,838,509 and 207,492,282 is: 444,586,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,509 : 207,492,282 = 207,492,282 : x
  2. Step 2: Convert to fraction form
    96,838,509/207,492,282 = 207,492,282/x
  3. Step 3: Cross multiply
    96,838,509x = 207,492,282 × 207,492,282
  4. Step 4: Simplify right side
    96,838,509x = 43,053,047,089,567,520
  5. Step 5: Solve for x
    x = 43,053,047,089,567,520/96,838,509
  6. Step 6: Final answer
    x = 444,586,017.84

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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.