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Finding the Third Proportional to 149,119,756.88 and 313,692,822

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Solution

The third proportional to 149,119,756.88 and 313,692,822 is: 659,893,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,119,756.88 : 313,692,822 = 313,692,822 : x
  2. Step 2: Convert to fraction form
    149,119,756.88/313,692,822 = 313,692,822/x
  3. Step 3: Cross multiply
    149,119,756.88x = 313,692,822 × 313,692,822
  4. Step 4: Simplify right side
    149,119,756.88x = 98,403,186,574,323,680
  5. Step 5: Solve for x
    x = 98,403,186,574,323,680/149,119,756.88
  6. Step 6: Final answer
    x = 659,893,689.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.