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Finding the Third Proportional to 55,365,111 and 121,156,879.50

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Solution

The third proportional to 55,365,111 and 121,156,879.50 is: 265,130,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365,111 : 121,156,879.50 = 121,156,879.50 : x
  2. Step 2: Convert to fraction form
    55,365,111/121,156,879.50 = 121,156,879.50/x
  3. Step 3: Cross multiply
    55,365,111x = 121,156,879.50 × 121,156,879.50
  4. Step 4: Simplify right side
    55,365,111x = 14,678,989,450,177,520
  5. Step 5: Solve for x
    x = 14,678,989,450,177,520/55,365,111
  6. Step 6: Final answer
    x = 265,130,678.60

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Why These Related Problems?

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