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Finding the Third Proportional to 141,985,984 and 202,901,280

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Solution

The third proportional to 141,985,984 and 202,901,280 is: 289,950,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,985,984 : 202,901,280 = 202,901,280 : x
  2. Step 2: Convert to fraction form
    141,985,984/202,901,280 = 202,901,280/x
  3. Step 3: Cross multiply
    141,985,984x = 202,901,280 × 202,901,280
  4. Step 4: Simplify right side
    141,985,984x = 41,168,929,425,638,400
  5. Step 5: Solve for x
    x = 41,168,929,425,638,400/141,985,984
  6. Step 6: Final answer
    x = 289,950,657.56

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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.