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Finding the Third Proportional to 97,146,136 and 210,434,816

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Solution

The third proportional to 97,146,136 and 210,434,816 is: 455,837,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146,136 : 210,434,816 = 210,434,816 : x
  2. Step 2: Convert to fraction form
    97,146,136/210,434,816 = 210,434,816/x
  3. Step 3: Cross multiply
    97,146,136x = 210,434,816 × 210,434,816
  4. Step 4: Simplify right side
    97,146,136x = 44,282,811,784,953,856
  5. Step 5: Solve for x
    x = 44,282,811,784,953,856/97,146,136
  6. Step 6: Final answer
    x = 455,837,088.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.