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Finding the Third Proportional to 126,109,828.50 and 177,513,041.25

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Solution

The third proportional to 126,109,828.50 and 177,513,041.25 is: 249,868,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,109,828.50 : 177,513,041.25 = 177,513,041.25 : x
  2. Step 2: Convert to fraction form
    126,109,828.50/177,513,041.25 = 177,513,041.25/x
  3. Step 3: Cross multiply
    126,109,828.50x = 177,513,041.25 × 177,513,041.25
  4. Step 4: Simplify right side
    126,109,828.50x = 31,510,879,813,824,200
  5. Step 5: Solve for x
    x = 31,510,879,813,824,200/126,109,828.50
  6. Step 6: Final answer
    x = 249,868,548.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.