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Finding the Third Proportional to 54,020,187 and 118,539,790.50

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Solution

The third proportional to 54,020,187 and 118,539,790.50 is: 260,119,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,020,187 : 118,539,790.50 = 118,539,790.50 : x
  2. Step 2: Convert to fraction form
    54,020,187/118,539,790.50 = 118,539,790.50/x
  3. Step 3: Cross multiply
    54,020,187x = 118,539,790.50 × 118,539,790.50
  4. Step 4: Simplify right side
    54,020,187x = 14,051,681,931,783,890
  5. Step 5: Solve for x
    x = 14,051,681,931,783,890/54,020,187
  6. Step 6: Final answer
    x = 260,119,090.88

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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.