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Finding the Third Proportional to 233,176,518 and 498,638,073

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Solution

The third proportional to 233,176,518 and 498,638,073 is: 1,066,316,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,176,518 : 498,638,073 = 498,638,073 : x
  2. Step 2: Convert to fraction form
    233,176,518/498,638,073 = 498,638,073/x
  3. Step 3: Cross multiply
    233,176,518x = 498,638,073 × 498,638,073
  4. Step 4: Simplify right side
    233,176,518x = 248,639,927,845,153,344
  5. Step 5: Solve for x
    x = 248,639,927,845,153,344/233,176,518
  6. Step 6: Final answer
    x = 1,066,316,325.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.