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Finding the Third Proportional to 107,849,916 and 235,877,256

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Solution

The third proportional to 107,849,916 and 235,877,256 is: 515,884,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,849,916 : 235,877,256 = 235,877,256 : x
  2. Step 2: Convert to fraction form
    107,849,916/235,877,256 = 235,877,256/x
  3. Step 3: Cross multiply
    107,849,916x = 235,877,256 × 235,877,256
  4. Step 4: Simplify right side
    107,849,916x = 55,638,079,898,089,536
  5. Step 5: Solve for x
    x = 55,638,079,898,089,536/107,849,916
  6. Step 6: Final answer
    x = 515,884,313.70

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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.