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Finding the Third Proportional to 97,137,111 and 198,176,169

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Solution

The third proportional to 97,137,111 and 198,176,169 is: 404,312,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,137,111 : 198,176,169 = 198,176,169 : x
  2. Step 2: Convert to fraction form
    97,137,111/198,176,169 = 198,176,169/x
  3. Step 3: Cross multiply
    97,137,111x = 198,176,169 × 198,176,169
  4. Step 4: Simplify right side
    97,137,111x = 39,273,793,959,516,560
  5. Step 5: Solve for x
    x = 39,273,793,959,516,560/97,137,111
  6. Step 6: Final answer
    x = 404,312,971.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.