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Finding the Third Proportional to 64,855,814.06 and 141,678,892.13

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Solution

The third proportional to 64,855,814.06 and 141,678,892.13 is: 309,500,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,855,814.06 : 141,678,892.13 = 141,678,892.13 : x
  2. Step 2: Convert to fraction form
    64,855,814.06/141,678,892.13 = 141,678,892.13/x
  3. Step 3: Cross multiply
    64,855,814.06x = 141,678,892.13 × 141,678,892.13
  4. Step 4: Simplify right side
    64,855,814.06x = 20,072,908,473,767,388
  5. Step 5: Solve for x
    x = 20,072,908,473,767,388/64,855,814.06
  6. Step 6: Final answer
    x = 309,500,524.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.