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Finding the Third Proportional to 97,259,985 and 210,049,070.63

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Solution

The third proportional to 97,259,985 and 210,049,070.63 is: 453,635,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,259,985 : 210,049,070.63 = 210,049,070.63 : x
  2. Step 2: Convert to fraction form
    97,259,985/210,049,070.63 = 210,049,070.63/x
  3. Step 3: Cross multiply
    97,259,985x = 210,049,070.63 × 210,049,070.63
  4. Step 4: Simplify right side
    97,259,985x = 44,120,612,070,426,240
  5. Step 5: Solve for x
    x = 44,120,612,070,426,240/97,259,985
  6. Step 6: Final answer
    x = 453,635,809.94

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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.