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Finding the Third Proportional to 197,584,348,032 and 266,587,673,674.50

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Solution

The third proportional to 197,584,348,032 and 266,587,673,674.50 is: 359,689,360,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584,348,032 : 266,587,673,674.50 = 266,587,673,674.50 : x
  2. Step 2: Convert to fraction form
    197,584,348,032/266,587,673,674.50 = 266,587,673,674.50/x
  3. Step 3: Cross multiply
    197,584,348,032x = 266,587,673,674.50 × 266,587,673,674.50
  4. Step 4: Simplify right side
    197,584,348,032x = 71,068,987,755,181,696,352,256
  5. Step 5: Solve for x
    x = 71,068,987,755,181,696,352,256/197,584,348,032
  6. Step 6: Final answer
    x = 359,689,360,331.68

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