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Finding the Third Proportional to 97,488,503,516 and 212,284,089,464

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Solution

The third proportional to 97,488,503,516 and 212,284,089,464 is: 462,254,860,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488,503,516 : 212,284,089,464 = 212,284,089,464 : x
  2. Step 2: Convert to fraction form
    97,488,503,516/212,284,089,464 = 212,284,089,464/x
  3. Step 3: Cross multiply
    97,488,503,516x = 212,284,089,464 × 212,284,089,464
  4. Step 4: Simplify right side
    97,488,503,516x = 45,064,534,639,559,558,823,936
  5. Step 5: Solve for x
    x = 45,064,534,639,559,558,823,936/97,488,503,516
  6. Step 6: Final answer
    x = 462,254,860,976.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.