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Finding the Third Proportional to 201,350,072 and 310,926,576

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Solution

The third proportional to 201,350,072 and 310,926,576 is: 480,135,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,072 : 310,926,576 = 310,926,576 : x
  2. Step 2: Convert to fraction form
    201,350,072/310,926,576 = 310,926,576/x
  3. Step 3: Cross multiply
    201,350,072x = 310,926,576 × 310,926,576
  4. Step 4: Simplify right side
    201,350,072x = 96,675,335,663,083,776
  5. Step 5: Solve for x
    x = 96,675,335,663,083,776/201,350,072
  6. Step 6: Final answer
    x = 480,135,590.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.