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Finding the Third Proportional to 45,346,298.50 and 92,595,924.50

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Solution

The third proportional to 45,346,298.50 and 92,595,924.50 is: 189,078,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346,298.50 : 92,595,924.50 = 92,595,924.50 : x
  2. Step 2: Convert to fraction form
    45,346,298.50/92,595,924.50 = 92,595,924.50/x
  3. Step 3: Cross multiply
    45,346,298.50x = 92,595,924.50 × 92,595,924.50
  4. Step 4: Simplify right side
    45,346,298.50x = 8,574,005,234,009,700
  5. Step 5: Solve for x
    x = 8,574,005,234,009,700/45,346,298.50
  6. Step 6: Final answer
    x = 189,078,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.