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Finding the Third Proportional to 99,885,142,444 and 144,316,781,870

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Solution

The third proportional to 99,885,142,444 and 144,316,781,870 is: 208,512,828,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,142,444 : 144,316,781,870 = 144,316,781,870 : x
  2. Step 2: Convert to fraction form
    99,885,142,444/144,316,781,870 = 144,316,781,870/x
  3. Step 3: Cross multiply
    99,885,142,444x = 144,316,781,870 × 144,316,781,870
  4. Step 4: Simplify right side
    99,885,142,444x = 20,827,333,529,313,162,035,200
  5. Step 5: Solve for x
    x = 20,827,333,529,313,162,035,200/99,885,142,444
  6. Step 6: Final answer
    x = 208,512,828,031.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.