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Finding the Third Proportional to 99,885,142,445 and 144,316,781,871.50

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Solution

The third proportional to 99,885,142,445 and 144,316,781,871.50 is: 208,512,828,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,885,142,445 : 144,316,781,871.50 = 144,316,781,871.50 : x
  2. Step 2: Convert to fraction form
    99,885,142,445/144,316,781,871.50 = 144,316,781,871.50/x
  3. Step 3: Cross multiply
    99,885,142,445x = 144,316,781,871.50 × 144,316,781,871.50
  4. Step 4: Simplify right side
    99,885,142,445x = 20,827,333,529,746,110,676,992
  5. Step 5: Solve for x
    x = 20,827,333,529,746,110,676,992/99,885,142,445
  6. Step 6: Final answer
    x = 208,512,828,033.60

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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.