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Finding the Third Proportional to 108,294,768 and 177,774,480

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Solution

The third proportional to 108,294,768 and 177,774,480 is: 291,830,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,294,768 : 177,774,480 = 177,774,480 : x
  2. Step 2: Convert to fraction form
    108,294,768/177,774,480 = 177,774,480/x
  3. Step 3: Cross multiply
    108,294,768x = 177,774,480 × 177,774,480
  4. Step 4: Simplify right side
    108,294,768x = 31,603,765,739,270,400
  5. Step 5: Solve for x
    x = 31,603,765,739,270,400/108,294,768
  6. Step 6: Final answer
    x = 291,830,956.59

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.