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Finding the Third Proportional to 202,171,650.75 and 288,908,547.75

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Solution

The third proportional to 202,171,650.75 and 288,908,547.75 is: 412,857,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171,650.75 : 288,908,547.75 = 288,908,547.75 : x
  2. Step 2: Convert to fraction form
    202,171,650.75/288,908,547.75 = 288,908,547.75/x
  3. Step 3: Cross multiply
    202,171,650.75x = 288,908,547.75 × 288,908,547.75
  4. Step 4: Simplify right side
    202,171,650.75x = 83,468,148,963,014,032
  5. Step 5: Solve for x
    x = 83,468,148,963,014,032/202,171,650.75
  6. Step 6: Final answer
    x = 412,857,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.