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Finding the Third Proportional to 54,140,676.75 and 112,742,802.75

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Solution

The third proportional to 54,140,676.75 and 112,742,802.75 is: 234,776,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140,676.75 : 112,742,802.75 = 112,742,802.75 : x
  2. Step 2: Convert to fraction form
    54,140,676.75/112,742,802.75 = 112,742,802.75/x
  3. Step 3: Cross multiply
    54,140,676.75x = 112,742,802.75 × 112,742,802.75
  4. Step 4: Simplify right side
    54,140,676.75x = 12,710,939,571,925,408
  5. Step 5: Solve for x
    x = 12,710,939,571,925,408/54,140,676.75
  6. Step 6: Final answer
    x = 234,776,148.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.