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Finding the Third Proportional to 201,971,592 and 307,029,720.38

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Solution

The third proportional to 201,971,592 and 307,029,720.38 is: 466,735,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971,592 : 307,029,720.38 = 307,029,720.38 : x
  2. Step 2: Convert to fraction form
    201,971,592/307,029,720.38 = 307,029,720.38/x
  3. Step 3: Cross multiply
    201,971,592x = 307,029,720.38 × 307,029,720.38
  4. Step 4: Simplify right side
    201,971,592x = 94,267,249,193,550,688
  5. Step 5: Solve for x
    x = 94,267,249,193,550,688/201,971,592
  6. Step 6: Final answer
    x = 466,735,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.