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Finding the Third Proportional to 235,669,206.38 and 512,130,815.16

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Solution

The third proportional to 235,669,206.38 and 512,130,815.16 is: 1,112,907,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,669,206.38 : 512,130,815.16 = 512,130,815.16 : x
  2. Step 2: Convert to fraction form
    235,669,206.38/512,130,815.16 = 512,130,815.16/x
  3. Step 3: Cross multiply
    235,669,206.38x = 512,130,815.16 × 512,130,815.16
  4. Step 4: Simplify right side
    235,669,206.38x = 262,277,971,832,605,120
  5. Step 5: Solve for x
    x = 262,277,971,832,605,120/235,669,206.38
  6. Step 6: Final answer
    x = 1,112,907,264.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.