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Finding the Third Proportional to 66,090,217 and 143,160,146

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Solution

The third proportional to 66,090,217 and 143,160,146 is: 310,103,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,090,217 : 143,160,146 = 143,160,146 : x
  2. Step 2: Convert to fraction form
    66,090,217/143,160,146 = 143,160,146/x
  3. Step 3: Cross multiply
    66,090,217x = 143,160,146 × 143,160,146
  4. Step 4: Simplify right side
    66,090,217x = 20,494,827,402,741,316
  5. Step 5: Solve for x
    x = 20,494,827,402,741,316/66,090,217
  6. Step 6: Final answer
    x = 310,103,799.52

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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.