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Finding the Third Proportional to 197,584,348,029 and 266,587,673,670

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Solution

The third proportional to 197,584,348,029 and 266,587,673,670 is: 359,689,360,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584,348,029 : 266,587,673,670 = 266,587,673,670 : x
  2. Step 2: Convert to fraction form
    197,584,348,029/266,587,673,670 = 266,587,673,670/x
  3. Step 3: Cross multiply
    197,584,348,029x = 266,587,673,670 × 266,587,673,670
  4. Step 4: Simplify right side
    197,584,348,029x = 71,068,987,752,782,411,857,920
  5. Step 5: Solve for x
    x = 71,068,987,752,782,411,857,920/197,584,348,029
  6. Step 6: Final answer
    x = 359,689,360,325.00

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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.