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Finding the Third Proportional to 148,069,319,730 and 225,573,366,423

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Solution

The third proportional to 148,069,319,730 and 225,573,366,423 is: 343,645,420,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069,319,730 : 225,573,366,423 = 225,573,366,423 : x
  2. Step 2: Convert to fraction form
    148,069,319,730/225,573,366,423 = 225,573,366,423/x
  3. Step 3: Cross multiply
    148,069,319,730x = 225,573,366,423 × 225,573,366,423
  4. Step 4: Simplify right side
    148,069,319,730x = 50,883,343,639,405,024,772,096
  5. Step 5: Solve for x
    x = 50,883,343,639,405,024,772,096/148,069,319,730
  6. Step 6: Final answer
    x = 343,645,420,484.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.