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Finding the Third Proportional to 201,391,653 and 433,771,729

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Solution

The third proportional to 201,391,653 and 433,771,729 is: 934,288,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391,653 : 433,771,729 = 433,771,729 : x
  2. Step 2: Convert to fraction form
    201,391,653/433,771,729 = 433,771,729/x
  3. Step 3: Cross multiply
    201,391,653x = 433,771,729 × 433,771,729
  4. Step 4: Simplify right side
    201,391,653x = 188,157,912,879,649,440
  5. Step 5: Solve for x
    x = 188,157,912,879,649,440/201,391,653
  6. Step 6: Final answer
    x = 934,288,537.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.