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Finding the Third Proportional to 141,315,459 and 213,316,710

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Solution

The third proportional to 141,315,459 and 213,316,710 is: 322,003,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,459 : 213,316,710 = 213,316,710 : x
  2. Step 2: Convert to fraction form
    141,315,459/213,316,710 = 213,316,710/x
  3. Step 3: Cross multiply
    141,315,459x = 213,316,710 × 213,316,710
  4. Step 4: Simplify right side
    141,315,459x = 45,504,018,765,224,096
  5. Step 5: Solve for x
    x = 45,504,018,765,224,096/141,315,459
  6. Step 6: Final answer
    x = 322,003,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.