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Finding the Third Proportional to 52,149,460.50 and 110,111,298.75

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Solution

The third proportional to 52,149,460.50 and 110,111,298.75 is: 232,495,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149,460.50 : 110,111,298.75 = 110,111,298.75 : x
  2. Step 2: Convert to fraction form
    52,149,460.50/110,111,298.75 = 110,111,298.75/x
  3. Step 3: Cross multiply
    52,149,460.50x = 110,111,298.75 × 110,111,298.75
  4. Step 4: Simplify right side
    52,149,460.50x = 12,124,498,112,411,752
  5. Step 5: Solve for x
    x = 12,124,498,112,411,752/52,149,460.50
  6. Step 6: Final answer
    x = 232,495,178.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.