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Finding the Third Proportional to 145,819,960 and 344,221,751.50

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Solution

The third proportional to 145,819,960 and 344,221,751.50 is: 812,567,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,819,960 : 344,221,751.50 = 344,221,751.50 : x
  2. Step 2: Convert to fraction form
    145,819,960/344,221,751.50 = 344,221,751.50/x
  3. Step 3: Cross multiply
    145,819,960x = 344,221,751.50 × 344,221,751.50
  4. Step 4: Simplify right side
    145,819,960x = 118,488,614,205,727,760
  5. Step 5: Solve for x
    x = 118,488,614,205,727,760/145,819,960
  6. Step 6: Final answer
    x = 812,567,869.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.