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Finding the Third Proportional to 78,490,023,634 and 117,706,207,875

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Solution

The third proportional to 78,490,023,634 and 117,706,207,875 is: 176,516,081,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490,023,634 : 117,706,207,875 = 117,706,207,875 : x
  2. Step 2: Convert to fraction form
    78,490,023,634/117,706,207,875 = 117,706,207,875/x
  3. Step 3: Cross multiply
    78,490,023,634x = 117,706,207,875 × 117,706,207,875
  4. Step 4: Simplify right side
    78,490,023,634x = 13,854,751,372,312,712,314,880
  5. Step 5: Solve for x
    x = 13,854,751,372,312,712,314,880/78,490,023,634
  6. Step 6: Final answer
    x = 176,516,081,036.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.