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Finding the Third Proportional to 102,089,065.50 and 156,918,080.25

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Solution

The third proportional to 102,089,065.50 and 156,918,080.25 is: 241,194,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089,065.50 : 156,918,080.25 = 156,918,080.25 : x
  2. Step 2: Convert to fraction form
    102,089,065.50/156,918,080.25 = 156,918,080.25/x
  3. Step 3: Cross multiply
    102,089,065.50x = 156,918,080.25 × 156,918,080.25
  4. Step 4: Simplify right side
    102,089,065.50x = 24,623,283,909,345,440
  5. Step 5: Solve for x
    x = 24,623,283,909,345,440/102,089,065.50
  6. Step 6: Final answer
    x = 241,194,135.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.