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Finding the Third Proportional to 76,573,830 and 115,772,470.88

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Solution

The third proportional to 76,573,830 and 115,772,470.88 is: 175,037,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573,830 : 115,772,470.88 = 115,772,470.88 : x
  2. Step 2: Convert to fraction form
    76,573,830/115,772,470.88 = 115,772,470.88/x
  3. Step 3: Cross multiply
    76,573,830x = 115,772,470.88 × 115,772,470.88
  4. Step 4: Simplify right side
    76,573,830x = 13,403,265,012,502,724
  5. Step 5: Solve for x
    x = 13,403,265,012,502,724/76,573,830
  6. Step 6: Final answer
    x = 175,037,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.