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Finding the Third Proportional to 143,927,681 and 210,493,584

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Solution

The third proportional to 143,927,681 and 210,493,584 is: 307,845,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,927,681 : 210,493,584 = 210,493,584 : x
  2. Step 2: Convert to fraction form
    143,927,681/210,493,584 = 210,493,584/x
  3. Step 3: Cross multiply
    143,927,681x = 210,493,584 × 210,493,584
  4. Step 4: Simplify right side
    143,927,681x = 44,307,548,905,165,056
  5. Step 5: Solve for x
    x = 44,307,548,905,165,056/143,927,681
  6. Step 6: Final answer
    x = 307,845,916.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.