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Finding the Third Proportional to 144,845,064 and 310,399,776

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Solution

The third proportional to 144,845,064 and 310,399,776 is: 665,179,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,845,064 : 310,399,776 = 310,399,776 : x
  2. Step 2: Convert to fraction form
    144,845,064/310,399,776 = 310,399,776/x
  3. Step 3: Cross multiply
    144,845,064x = 310,399,776 × 310,399,776
  4. Step 4: Simplify right side
    144,845,064x = 96,348,020,940,850,176
  5. Step 5: Solve for x
    x = 96,348,020,940,850,176/144,845,064
  6. Step 6: Final answer
    x = 665,179,870.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.