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Finding the Third Proportional to 197,584,348,031 and 266,587,673,673

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Solution

The third proportional to 197,584,348,031 and 266,587,673,673 is: 359,689,360,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584,348,031 : 266,587,673,673 = 266,587,673,673 : x
  2. Step 2: Convert to fraction form
    197,584,348,031/266,587,673,673 = 266,587,673,673/x
  3. Step 3: Cross multiply
    197,584,348,031x = 266,587,673,673 × 266,587,673,673
  4. Step 4: Simplify right side
    197,584,348,031x = 71,068,987,754,381,934,854,144
  5. Step 5: Solve for x
    x = 71,068,987,754,381,934,854,144/197,584,348,031
  6. Step 6: Final answer
    x = 359,689,360,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.