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Finding the Third Proportional to 200,473,114.50 and 318,995,259.75

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Solution

The third proportional to 200,473,114.50 and 318,995,259.75 is: 507,589,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,473,114.50 : 318,995,259.75 = 318,995,259.75 : x
  2. Step 2: Convert to fraction form
    200,473,114.50/318,995,259.75 = 318,995,259.75/x
  3. Step 3: Cross multiply
    200,473,114.50x = 318,995,259.75 × 318,995,259.75
  4. Step 4: Simplify right side
    200,473,114.50x = 101,757,975,742,969,968
  5. Step 5: Solve for x
    x = 101,757,975,742,969,968/200,473,114.50
  6. Step 6: Final answer
    x = 507,589,139.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.