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Finding the Third Proportional to 69,130,330 and 148,121,146

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Solution

The third proportional to 69,130,330 and 148,121,146 is: 317,369,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130,330 : 148,121,146 = 148,121,146 : x
  2. Step 2: Convert to fraction form
    69,130,330/148,121,146 = 148,121,146/x
  3. Step 3: Cross multiply
    69,130,330x = 148,121,146 × 148,121,146
  4. Step 4: Simplify right side
    69,130,330x = 21,939,873,892,353,316
  5. Step 5: Solve for x
    x = 21,939,873,892,353,316/69,130,330
  6. Step 6: Final answer
    x = 317,369,726.03

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Why These Related Problems?

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