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Finding the Third Proportional to 119,259,330 and 178,176,024

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Solution

The third proportional to 119,259,330 and 178,176,024 is: 266,198,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,259,330 : 178,176,024 = 178,176,024 : x
  2. Step 2: Convert to fraction form
    119,259,330/178,176,024 = 178,176,024/x
  3. Step 3: Cross multiply
    119,259,330x = 178,176,024 × 178,176,024
  4. Step 4: Simplify right side
    119,259,330x = 31,746,695,528,448,576
  5. Step 5: Solve for x
    x = 31,746,695,528,448,576/119,259,330
  6. Step 6: Final answer
    x = 266,198,841.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.