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Finding the Third Proportional to 76,968,630 and 165,968,028

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Solution

The third proportional to 76,968,630 and 165,968,028 is: 357,878,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968,630 : 165,968,028 = 165,968,028 : x
  2. Step 2: Convert to fraction form
    76,968,630/165,968,028 = 165,968,028/x
  3. Step 3: Cross multiply
    76,968,630x = 165,968,028 × 165,968,028
  4. Step 4: Simplify right side
    76,968,630x = 27,545,386,318,208,784
  5. Step 5: Solve for x
    x = 27,545,386,318,208,784/76,968,630
  6. Step 6: Final answer
    x = 357,878,090.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.