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Finding the Third Proportional to 170,814,706.50 and 353,741,829

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Solution

The third proportional to 170,814,706.50 and 353,741,829 is: 732,567,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814,706.50 : 353,741,829 = 353,741,829 : x
  2. Step 2: Convert to fraction form
    170,814,706.50/353,741,829 = 353,741,829/x
  3. Step 3: Cross multiply
    170,814,706.50x = 353,741,829 × 353,741,829
  4. Step 4: Simplify right side
    170,814,706.50x = 125,133,281,584,265,248
  5. Step 5: Solve for x
    x = 125,133,281,584,265,248/170,814,706.50
  6. Step 6: Final answer
    x = 732,567,377.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.