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Finding the Third Proportional to 296,089,121.25 and 641,551,262.63

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Solution

The third proportional to 296,089,121.25 and 641,551,262.63 is: 1,390,081,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,089,121.25 : 641,551,262.63 = 641,551,262.63 : x
  2. Step 2: Convert to fraction form
    296,089,121.25/641,551,262.63 = 641,551,262.63/x
  3. Step 3: Cross multiply
    296,089,121.25x = 641,551,262.63 × 641,551,262.63
  4. Step 4: Simplify right side
    296,089,121.25x = 411,588,022,575,731,712
  5. Step 5: Solve for x
    x = 411,588,022,575,731,712/296,089,121.25
  6. Step 6: Final answer
    x = 1,390,081,543.15

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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.