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Finding the Third Proportional to 47,975,205 and 103,610,476

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Solution

The third proportional to 47,975,205 and 103,610,476 is: 223,764,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,205 : 103,610,476 = 103,610,476 : x
  2. Step 2: Convert to fraction form
    47,975,205/103,610,476 = 103,610,476/x
  3. Step 3: Cross multiply
    47,975,205x = 103,610,476 × 103,610,476
  4. Step 4: Simplify right side
    47,975,205x = 10,735,130,736,946,576
  5. Step 5: Solve for x
    x = 10,735,130,736,946,576/47,975,205
  6. Step 6: Final answer
    x = 223,764,145.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.