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Finding the Third Proportional to 98,833,196,008 and 139,178,918,811

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Solution

The third proportional to 98,833,196,008 and 139,178,918,811 is: 195,994,587,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833,196,008 : 139,178,918,811 = 139,178,918,811 : x
  2. Step 2: Convert to fraction form
    98,833,196,008/139,178,918,811 = 139,178,918,811/x
  3. Step 3: Cross multiply
    98,833,196,008x = 139,178,918,811 × 139,178,918,811
  4. Step 4: Simplify right side
    98,833,196,008x = 19,370,771,441,398,931,521,536
  5. Step 5: Solve for x
    x = 19,370,771,441,398,931,521,536/98,833,196,008
  6. Step 6: Final answer
    x = 195,994,587,080.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.