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Finding the Third Proportional to 141,986,007 and 202,901,314.50

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Solution

The third proportional to 141,986,007 and 202,901,314.50 is: 289,950,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,986,007 : 202,901,314.50 = 202,901,314.50 : x
  2. Step 2: Convert to fraction form
    141,986,007/202,901,314.50 = 202,901,314.50/x
  3. Step 3: Cross multiply
    141,986,007x = 202,901,314.50 × 202,901,314.50
  4. Step 4: Simplify right side
    141,986,007x = 41,168,943,425,827,912
  5. Step 5: Solve for x
    x = 41,168,943,425,827,912/141,986,007
  6. Step 6: Final answer
    x = 289,950,709.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.