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Finding the Third Proportional to 68,522,410 and 147,966,118

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Solution

The third proportional to 68,522,410 and 147,966,118 is: 319,515,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,522,410 : 147,966,118 = 147,966,118 : x
  2. Step 2: Convert to fraction form
    68,522,410/147,966,118 = 147,966,118/x
  3. Step 3: Cross multiply
    68,522,410x = 147,966,118 × 147,966,118
  4. Step 4: Simplify right side
    68,522,410x = 21,893,972,075,989,924
  5. Step 5: Solve for x
    x = 21,893,972,075,989,924/68,522,410
  6. Step 6: Final answer
    x = 319,515,499.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.