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Finding the Third Proportional to 148,550,535,758 and 321,768,062,442

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Solution

The third proportional to 148,550,535,758 and 321,768,062,442 is: 696,966,089,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,550,535,758 : 321,768,062,442 = 321,768,062,442 : x
  2. Step 2: Convert to fraction form
    148,550,535,758/321,768,062,442 = 321,768,062,442/x
  3. Step 3: Cross multiply
    148,550,535,758x = 321,768,062,442 × 321,768,062,442
  4. Step 4: Simplify right side
    148,550,535,758x = 103,534,686,007,678,816,223,232
  5. Step 5: Solve for x
    x = 103,534,686,007,678,816,223,232/148,550,535,758
  6. Step 6: Final answer
    x = 696,966,089,549.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.