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Finding the Third Proportional to 233,214,366 and 510,361,402

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Solution

The third proportional to 233,214,366 and 510,361,402 is: 1,116,864,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,366 : 510,361,402 = 510,361,402 : x
  2. Step 2: Convert to fraction form
    233,214,366/510,361,402 = 510,361,402/x
  3. Step 3: Cross multiply
    233,214,366x = 510,361,402 × 510,361,402
  4. Step 4: Simplify right side
    233,214,366x = 260,468,760,651,405,600
  5. Step 5: Solve for x
    x = 260,468,760,651,405,600/233,214,366
  6. Step 6: Final answer
    x = 1,116,864,132.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.