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Finding the Third Proportional to 102,256,416 and 143,830,476

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Solution

The third proportional to 102,256,416 and 143,830,476 is: 202,307,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256,416 : 143,830,476 = 143,830,476 : x
  2. Step 2: Convert to fraction form
    102,256,416/143,830,476 = 143,830,476/x
  3. Step 3: Cross multiply
    102,256,416x = 143,830,476 × 143,830,476
  4. Step 4: Simplify right side
    102,256,416x = 20,687,205,826,386,576
  5. Step 5: Solve for x
    x = 20,687,205,826,386,576/102,256,416
  6. Step 6: Final answer
    x = 202,307,166.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.