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Finding the Third Proportional to 80,219,345.63 and 175,817,265.19

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Solution

The third proportional to 80,219,345.63 and 175,817,265.19 is: 385,339,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219,345.63 : 175,817,265.19 = 175,817,265.19 : x
  2. Step 2: Convert to fraction form
    80,219,345.63/175,817,265.19 = 175,817,265.19/x
  3. Step 3: Cross multiply
    80,219,345.63x = 175,817,265.19 × 175,817,265.19
  4. Step 4: Simplify right side
    80,219,345.63x = 30,911,710,738,011,700
  5. Step 5: Solve for x
    x = 30,911,710,738,011,700/80,219,345.63
  6. Step 6: Final answer
    x = 385,339,851.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.