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Finding the Third Proportional to 74,293,456 and 156,107,168

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Solution

The third proportional to 74,293,456 and 156,107,168 is: 328,016,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293,456 : 156,107,168 = 156,107,168 : x
  2. Step 2: Convert to fraction form
    74,293,456/156,107,168 = 156,107,168/x
  3. Step 3: Cross multiply
    74,293,456x = 156,107,168 × 156,107,168
  4. Step 4: Simplify right side
    74,293,456x = 24,369,447,900,980,224
  5. Step 5: Solve for x
    x = 24,369,447,900,980,224/74,293,456
  6. Step 6: Final answer
    x = 328,016,075.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.