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Finding the Third Proportional to 164,760,968 and 355,037,776

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Solution

The third proportional to 164,760,968 and 355,037,776 is: 765,058,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760,968 : 355,037,776 = 355,037,776 : x
  2. Step 2: Convert to fraction form
    164,760,968/355,037,776 = 355,037,776/x
  3. Step 3: Cross multiply
    164,760,968x = 355,037,776 × 355,037,776
  4. Step 4: Simplify right side
    164,760,968x = 126,051,822,387,026,176
  5. Step 5: Solve for x
    x = 126,051,822,387,026,176/164,760,968
  6. Step 6: Final answer
    x = 765,058,763.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.