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Finding the Third Proportional to 233,214,338 and 510,361,348

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Solution

The third proportional to 233,214,338 and 510,361,348 is: 1,116,864,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,338 : 510,361,348 = 510,361,348 : x
  2. Step 2: Convert to fraction form
    233,214,338/510,361,348 = 510,361,348/x
  3. Step 3: Cross multiply
    233,214,338x = 510,361,348 × 510,361,348
  4. Step 4: Simplify right side
    233,214,338x = 260,468,705,532,377,088
  5. Step 5: Solve for x
    x = 260,468,705,532,377,088/233,214,338
  6. Step 6: Final answer
    x = 1,116,864,030.60

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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.