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Finding the Third Proportional to 230,258,354 and 375,951,365

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Solution

The third proportional to 230,258,354 and 375,951,365 is: 613,829,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,258,354 : 375,951,365 = 375,951,365 : x
  2. Step 2: Convert to fraction form
    230,258,354/375,951,365 = 375,951,365/x
  3. Step 3: Cross multiply
    230,258,354x = 375,951,365 × 375,951,365
  4. Step 4: Simplify right side
    230,258,354x = 141,339,428,845,363,232
  5. Step 5: Solve for x
    x = 141,339,428,845,363,232/230,258,354
  6. Step 6: Final answer
    x = 613,829,754.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.