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Finding the Third Proportional to 78,158,244 and 167,072,688

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Solution

The third proportional to 78,158,244 and 167,072,688 is: 357,138,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158,244 : 167,072,688 = 167,072,688 : x
  2. Step 2: Convert to fraction form
    78,158,244/167,072,688 = 167,072,688/x
  3. Step 3: Cross multiply
    78,158,244x = 167,072,688 × 167,072,688
  4. Step 4: Simplify right side
    78,158,244x = 27,913,283,075,545,344
  5. Step 5: Solve for x
    x = 27,913,283,075,545,344/78,158,244
  6. Step 6: Final answer
    x = 357,138,052.84

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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.