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Finding the Third Proportional to 149,811,039 and 328,260,811.50

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Solution

The third proportional to 149,811,039 and 328,260,811.50 is: 719,273,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,811,039 : 328,260,811.50 = 328,260,811.50 : x
  2. Step 2: Convert to fraction form
    149,811,039/328,260,811.50 = 328,260,811.50/x
  3. Step 3: Cross multiply
    149,811,039x = 328,260,811.50 × 328,260,811.50
  4. Step 4: Simplify right side
    149,811,039x = 107,755,160,366,638,528
  5. Step 5: Solve for x
    x = 107,755,160,366,638,528/149,811,039
  6. Step 6: Final answer
    x = 719,273,833.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.