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Finding the Third Proportional to 83,547,746 and 121,685,907

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Solution

The third proportional to 83,547,746 and 121,685,907 is: 177,233,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547,746 : 121,685,907 = 121,685,907 : x
  2. Step 2: Convert to fraction form
    83,547,746/121,685,907 = 121,685,907/x
  3. Step 3: Cross multiply
    83,547,746x = 121,685,907 × 121,685,907
  4. Step 4: Simplify right side
    83,547,746x = 14,807,459,962,412,648
  5. Step 5: Solve for x
    x = 14,807,459,962,412,648/83,547,746
  6. Step 6: Final answer
    x = 177,233,506.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.