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Finding the Third Proportional to 214,833,606.75 and 328,416,302.25

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Solution

The third proportional to 214,833,606.75 and 328,416,302.25 is: 502,050,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,833,606.75 : 328,416,302.25 = 328,416,302.25 : x
  2. Step 2: Convert to fraction form
    214,833,606.75/328,416,302.25 = 328,416,302.25/x
  3. Step 3: Cross multiply
    214,833,606.75x = 328,416,302.25 × 328,416,302.25
  4. Step 4: Simplify right side
    214,833,606.75x = 107,857,267,583,563,360
  5. Step 5: Solve for x
    x = 107,857,267,583,563,360/214,833,606.75
  6. Step 6: Final answer
    x = 502,050,257.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.