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Finding the Third Proportional to 233,644,796 and 498,562,235

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Solution

The third proportional to 233,644,796 and 498,562,235 is: 1,063,855,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644,796 : 498,562,235 = 498,562,235 : x
  2. Step 2: Convert to fraction form
    233,644,796/498,562,235 = 498,562,235/x
  3. Step 3: Cross multiply
    233,644,796x = 498,562,235 × 498,562,235
  4. Step 4: Simplify right side
    233,644,796x = 248,564,302,168,195,232
  5. Step 5: Solve for x
    x = 248,564,302,168,195,232/233,644,796
  6. Step 6: Final answer
    x = 1,063,855,503.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.