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Finding the Third Proportional to 97,316,946 and 136,054,827

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Solution

The third proportional to 97,316,946 and 136,054,827 is: 190,212,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,316,946 : 136,054,827 = 136,054,827 : x
  2. Step 2: Convert to fraction form
    97,316,946/136,054,827 = 136,054,827/x
  3. Step 3: Cross multiply
    97,316,946x = 136,054,827 × 136,054,827
  4. Step 4: Simplify right side
    97,316,946x = 18,510,915,949,999,928
  5. Step 5: Solve for x
    x = 18,510,915,949,999,928/97,316,946
  6. Step 6: Final answer
    x = 190,212,668.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.