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Finding the Third Proportional to 153,520,819.50 and 219,536,565

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Solution

The third proportional to 153,520,819.50 and 219,536,565 is: 313,939,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,520,819.50 : 219,536,565 = 219,536,565 : x
  2. Step 2: Convert to fraction form
    153,520,819.50/219,536,565 = 219,536,565/x
  3. Step 3: Cross multiply
    153,520,819.50x = 219,536,565 × 219,536,565
  4. Step 4: Simplify right side
    153,520,819.50x = 48,196,303,371,999,224
  5. Step 5: Solve for x
    x = 48,196,303,371,999,224/153,520,819.50
  6. Step 6: Final answer
    x = 313,939,852.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.