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Finding the Third Proportional to 359,339,197,830 and 558,186,080,604

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Solution

The third proportional to 359,339,197,830 and 558,186,080,604 is: 867,068,503,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,339,197,830 : 558,186,080,604 = 558,186,080,604 : x
  2. Step 2: Convert to fraction form
    359,339,197,830/558,186,080,604 = 558,186,080,604/x
  3. Step 3: Cross multiply
    359,339,197,830x = 558,186,080,604 × 558,186,080,604
  4. Step 4: Simplify right side
    359,339,197,830x = 311,571,700,580,055,211,048,960
  5. Step 5: Solve for x
    x = 311,571,700,580,055,211,048,960/359,339,197,830
  6. Step 6: Final answer
    x = 867,068,503,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.