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Finding the Third Proportional to 212,477,392.69 and 457,239,826.13

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Solution

The third proportional to 212,477,392.69 and 457,239,826.13 is: 983,955,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,477,392.69 : 457,239,826.13 = 457,239,826.13 : x
  2. Step 2: Convert to fraction form
    212,477,392.69/457,239,826.13 = 457,239,826.13/x
  3. Step 3: Cross multiply
    212,477,392.69x = 457,239,826.13 × 457,239,826.13
  4. Step 4: Simplify right side
    212,477,392.69x = 209,068,258,594,820,224
  5. Step 5: Solve for x
    x = 209,068,258,594,820,224/212,477,392.69
  6. Step 6: Final answer
    x = 983,955,309.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.