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Finding the Third Proportional to 233,214,378 and 510,361,428

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Solution

The third proportional to 233,214,378 and 510,361,428 is: 1,116,864,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,378 : 510,361,428 = 510,361,428 : x
  2. Step 2: Convert to fraction form
    233,214,378/510,361,428 = 510,361,428/x
  3. Step 3: Cross multiply
    233,214,378x = 510,361,428 × 510,361,428
  4. Step 4: Simplify right side
    233,214,378x = 260,468,787,190,199,168
  5. Step 5: Solve for x
    x = 260,468,787,190,199,168/233,214,378
  6. Step 6: Final answer
    x = 1,116,864,189.18

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Why These Related Problems?

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