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Finding the Third Proportional to 74,602,998 and 160,543,406

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Solution

The third proportional to 74,602,998 and 160,543,406 is: 345,484,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602,998 : 160,543,406 = 160,543,406 : x
  2. Step 2: Convert to fraction form
    74,602,998/160,543,406 = 160,543,406/x
  3. Step 3: Cross multiply
    74,602,998x = 160,543,406 × 160,543,406
  4. Step 4: Simplify right side
    74,602,998x = 25,774,185,210,080,836
  5. Step 5: Solve for x
    x = 25,774,185,210,080,836/74,602,998
  6. Step 6: Final answer
    x = 345,484,577.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.