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Finding the Third Proportional to 99,550,619,169 and 145,546,486,326

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Solution

The third proportional to 99,550,619,169 and 145,546,486,326 is: 212,794,052,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,550,619,169 : 145,546,486,326 = 145,546,486,326 : x
  2. Step 2: Convert to fraction form
    99,550,619,169/145,546,486,326 = 145,546,486,326/x
  3. Step 3: Cross multiply
    99,550,619,169x = 145,546,486,326 × 145,546,486,326
  4. Step 4: Simplify right side
    99,550,619,169x = 21,183,779,681,844,506,656,768
  5. Step 5: Solve for x
    x = 21,183,779,681,844,506,656,768/99,550,619,169
  6. Step 6: Final answer
    x = 212,794,052,499.89

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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.