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Finding the Third Proportional to 65,114,305 and 141,550,465

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Solution

The third proportional to 65,114,305 and 141,550,465 is: 307,713,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114,305 : 141,550,465 = 141,550,465 : x
  2. Step 2: Convert to fraction form
    65,114,305/141,550,465 = 141,550,465/x
  3. Step 3: Cross multiply
    65,114,305x = 141,550,465 × 141,550,465
  4. Step 4: Simplify right side
    65,114,305x = 20,036,534,141,716,224
  5. Step 5: Solve for x
    x = 20,036,534,141,716,224/65,114,305
  6. Step 6: Final answer
    x = 307,713,245.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.