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Finding the Third Proportional to 172,275,302.25 and 264,799,265.06

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Solution

The third proportional to 172,275,302.25 and 264,799,265.06 is: 407,015,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,275,302.25 : 264,799,265.06 = 264,799,265.06 : x
  2. Step 2: Convert to fraction form
    172,275,302.25/264,799,265.06 = 264,799,265.06/x
  3. Step 3: Cross multiply
    172,275,302.25x = 264,799,265.06 × 264,799,265.06
  4. Step 4: Simplify right side
    172,275,302.25x = 70,118,650,777,640,136
  5. Step 5: Solve for x
    x = 70,118,650,777,640,136/172,275,302.25
  6. Step 6: Final answer
    x = 407,015,108.15

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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.