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Finding the Third Proportional to 87,730,152 and 190,089,352

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Solution

The third proportional to 87,730,152 and 190,089,352 is: 411,876,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,730,152 : 190,089,352 = 190,089,352 : x
  2. Step 2: Convert to fraction form
    87,730,152/190,089,352 = 190,089,352/x
  3. Step 3: Cross multiply
    87,730,152x = 190,089,352 × 190,089,352
  4. Step 4: Simplify right side
    87,730,152x = 36,133,961,743,779,904
  5. Step 5: Solve for x
    x = 36,133,961,743,779,904/87,730,152
  6. Step 6: Final answer
    x = 411,876,201.28

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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.