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Finding the Third Proportional to 201,350,076 and 310,926,584

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Solution

The third proportional to 201,350,076 and 310,926,584 is: 480,135,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,076 : 310,926,584 = 310,926,584 : x
  2. Step 2: Convert to fraction form
    201,350,076/310,926,584 = 310,926,584/x
  3. Step 3: Cross multiply
    201,350,076x = 310,926,584 × 310,926,584
  4. Step 4: Simplify right side
    201,350,076x = 96,675,340,637,909,056
  5. Step 5: Solve for x
    x = 96,675,340,637,909,056/201,350,076
  6. Step 6: Final answer
    x = 480,135,605.40

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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.