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Finding the Third Proportional to 47,004,421.60 and 103,089,006.10

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Solution

The third proportional to 47,004,421.60 and 103,089,006.10 is: 226,092,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004,421.60 : 103,089,006.10 = 103,089,006.10 : x
  2. Step 2: Convert to fraction form
    47,004,421.60/103,089,006.10 = 103,089,006.10/x
  3. Step 3: Cross multiply
    47,004,421.60x = 103,089,006.10 × 103,089,006.10
  4. Step 4: Simplify right side
    47,004,421.60x = 10,627,343,179,360,038
  5. Step 5: Solve for x
    x = 10,627,343,179,360,038/47,004,421.60
  6. Step 6: Final answer
    x = 226,092,414.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.