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Finding the Third Proportional to 233,314,546.13 and 499,908,224.25

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Solution

The third proportional to 233,314,546.13 and 499,908,224.25 is: 1,071,121,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,314,546.13 : 499,908,224.25 = 499,908,224.25 : x
  2. Step 2: Convert to fraction form
    233,314,546.13/499,908,224.25 = 499,908,224.25/x
  3. Step 3: Cross multiply
    233,314,546.13x = 499,908,224.25 × 499,908,224.25
  4. Step 4: Simplify right side
    233,314,546.13x = 249,908,232,672,788,288
  5. Step 5: Solve for x
    x = 249,908,232,672,788,288/233,314,546.13
  6. Step 6: Final answer
    x = 1,071,121,525.95

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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.