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Finding the Third Proportional to 164,012,784 and 361,456,594

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Solution

The third proportional to 164,012,784 and 361,456,594 is: 796,589,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012,784 : 361,456,594 = 361,456,594 : x
  2. Step 2: Convert to fraction form
    164,012,784/361,456,594 = 361,456,594/x
  3. Step 3: Cross multiply
    164,012,784x = 361,456,594 × 361,456,594
  4. Step 4: Simplify right side
    164,012,784x = 130,650,869,346,080,832
  5. Step 5: Solve for x
    x = 130,650,869,346,080,832/164,012,784
  6. Step 6: Final answer
    x = 796,589,547.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.