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Finding the Third Proportional to 126,088,224 and 273,698,784

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Solution

The third proportional to 126,088,224 and 273,698,784 is: 594,115,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,088,224 : 273,698,784 = 273,698,784 : x
  2. Step 2: Convert to fraction form
    126,088,224/273,698,784 = 273,698,784/x
  3. Step 3: Cross multiply
    126,088,224x = 273,698,784 × 273,698,784
  4. Step 4: Simplify right side
    126,088,224x = 74,911,024,363,078,656
  5. Step 5: Solve for x
    x = 74,911,024,363,078,656/126,088,224
  6. Step 6: Final answer
    x = 594,115,945.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.