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Finding the Third Proportional to 74,460,371.34 and 114,830,814.38

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Solution

The third proportional to 74,460,371.34 and 114,830,814.38 is: 177,089,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460,371.34 : 114,830,814.38 = 114,830,814.38 : x
  2. Step 2: Convert to fraction form
    74,460,371.34/114,830,814.38 = 114,830,814.38/x
  3. Step 3: Cross multiply
    74,460,371.34x = 114,830,814.38 × 114,830,814.38
  4. Step 4: Simplify right side
    74,460,371.34x = 13,186,115,930,025,706
  5. Step 5: Solve for x
    x = 13,186,115,930,025,706/74,460,371.34
  6. Step 6: Final answer
    x = 177,089,043.37

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