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Finding the Third Proportional to 159,522,998 and 346,271,413

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Solution

The third proportional to 159,522,998 and 346,271,413 is: 751,640,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522,998 : 346,271,413 = 346,271,413 : x
  2. Step 2: Convert to fraction form
    159,522,998/346,271,413 = 346,271,413/x
  3. Step 3: Cross multiply
    159,522,998x = 346,271,413 × 346,271,413
  4. Step 4: Simplify right side
    159,522,998x = 119,903,891,461,016,576
  5. Step 5: Solve for x
    x = 119,903,891,461,016,576/159,522,998
  6. Step 6: Final answer
    x = 751,640,158.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.