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Finding the Third Proportional to 126,111,564 and 190,069,380

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Solution

The third proportional to 126,111,564 and 190,069,380 is: 286,463,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,111,564 : 190,069,380 = 190,069,380 : x
  2. Step 2: Convert to fraction form
    126,111,564/190,069,380 = 190,069,380/x
  3. Step 3: Cross multiply
    126,111,564x = 190,069,380 × 190,069,380
  4. Step 4: Simplify right side
    126,111,564x = 36,126,369,213,584,400
  5. Step 5: Solve for x
    x = 36,126,369,213,584,400/126,111,564
  6. Step 6: Final answer
    x = 286,463,572.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.