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Finding the Third Proportional to 99,550,619,130 and 145,546,486,264.50

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Solution

The third proportional to 99,550,619,130 and 145,546,486,264.50 is: 212,794,052,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,550,619,130 : 145,546,486,264.50 = 145,546,486,264.50 : x
  2. Step 2: Convert to fraction form
    99,550,619,130/145,546,486,264.50 = 145,546,486,264.50/x
  3. Step 3: Cross multiply
    99,550,619,130x = 145,546,486,264.50 × 145,546,486,264.50
  4. Step 4: Simplify right side
    99,550,619,130x = 21,183,779,663,942,286,049,280
  5. Step 5: Solve for x
    x = 21,183,779,663,942,286,049,280/99,550,619,130
  6. Step 6: Final answer
    x = 212,794,052,403.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.