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Finding the Third Proportional to 141,875,547 and 213,828,108

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Solution

The third proportional to 141,875,547 and 213,828,108 is: 322,271,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875,547 : 213,828,108 = 213,828,108 : x
  2. Step 2: Convert to fraction form
    141,875,547/213,828,108 = 213,828,108/x
  3. Step 3: Cross multiply
    141,875,547x = 213,828,108 × 213,828,108
  4. Step 4: Simplify right side
    141,875,547x = 45,722,459,770,859,664
  5. Step 5: Solve for x
    x = 45,722,459,770,859,664/141,875,547
  6. Step 6: Final answer
    x = 322,271,601.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.