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Finding the Third Proportional to 69,130,326.75 and 148,121,138.25

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Solution

The third proportional to 69,130,326.75 and 148,121,138.25 is: 317,369,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130,326.75 : 148,121,138.25 = 148,121,138.25 : x
  2. Step 2: Convert to fraction form
    69,130,326.75/148,121,138.25 = 148,121,138.25/x
  3. Step 3: Cross multiply
    69,130,326.75x = 148,121,138.25 × 148,121,138.25
  4. Step 4: Simplify right side
    69,130,326.75x = 21,939,871,596,475,612
  5. Step 5: Solve for x
    x = 21,939,871,596,475,612/69,130,326.75
  6. Step 6: Final answer
    x = 317,369,707.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.