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Finding the Third Proportional to 45,277,164 and 97,724,592

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Solution

The third proportional to 45,277,164 and 97,724,592 is: 210,925,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,277,164 : 97,724,592 = 97,724,592 : x
  2. Step 2: Convert to fraction form
    45,277,164/97,724,592 = 97,724,592/x
  3. Step 3: Cross multiply
    45,277,164x = 97,724,592 × 97,724,592
  4. Step 4: Simplify right side
    45,277,164x = 9,550,095,881,566,464
  5. Step 5: Solve for x
    x = 9,550,095,881,566,464/45,277,164
  6. Step 6: Final answer
    x = 210,925,222.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.