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Finding the Third Proportional to 205,524,971.50 and 296,948,080.50

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Solution

The third proportional to 205,524,971.50 and 296,948,080.50 is: 429,038,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,524,971.50 : 296,948,080.50 = 296,948,080.50 : x
  2. Step 2: Convert to fraction form
    205,524,971.50/296,948,080.50 = 296,948,080.50/x
  3. Step 3: Cross multiply
    205,524,971.50x = 296,948,080.50 × 296,948,080.50
  4. Step 4: Simplify right side
    205,524,971.50x = 88,178,162,512,634,480
  5. Step 5: Solve for x
    x = 88,178,162,512,634,480/205,524,971.50
  6. Step 6: Final answer
    x = 429,038,680.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.