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Finding the Third Proportional to 146,090,889,005 and 314,167,954,445

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Solution

The third proportional to 146,090,889,005 and 314,167,954,445 is: 675,617,105,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090,889,005 : 314,167,954,445 = 314,167,954,445 : x
  2. Step 2: Convert to fraction form
    146,090,889,005/314,167,954,445 = 314,167,954,445/x
  3. Step 3: Cross multiply
    146,090,889,005x = 314,167,954,445 × 314,167,954,445
  4. Step 4: Simplify right side
    146,090,889,005x = 98,701,503,600,155,592,491,008
  5. Step 5: Solve for x
    x = 98,701,503,600,155,592,491,008/146,090,889,005
  6. Step 6: Final answer
    x = 675,617,105,709.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.