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Finding the Third Proportional to 98,833,196,016 and 139,178,918,853

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Solution

The third proportional to 98,833,196,016 and 139,178,918,853 is: 195,994,587,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833,196,016 : 139,178,918,853 = 139,178,918,853 : x
  2. Step 2: Convert to fraction form
    98,833,196,016/139,178,918,853 = 139,178,918,853/x
  3. Step 3: Cross multiply
    98,833,196,016x = 139,178,918,853 × 139,178,918,853
  4. Step 4: Simplify right side
    98,833,196,016x = 19,370,771,453,089,958,330,368
  5. Step 5: Solve for x
    x = 19,370,771,453,089,958,330,368/98,833,196,016
  6. Step 6: Final answer
    x = 195,994,587,182.57

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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.