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Finding the Third Proportional to 103,342,038.75 and 153,075,855.75

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Solution

The third proportional to 103,342,038.75 and 153,075,855.75 is: 226,744,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,342,038.75 : 153,075,855.75 = 153,075,855.75 : x
  2. Step 2: Convert to fraction form
    103,342,038.75/153,075,855.75 = 153,075,855.75/x
  3. Step 3: Cross multiply
    103,342,038.75x = 153,075,855.75 × 153,075,855.75
  4. Step 4: Simplify right side
    103,342,038.75x = 23,432,217,613,594,808
  5. Step 5: Solve for x
    x = 23,432,217,613,594,808/103,342,038.75
  6. Step 6: Final answer
    x = 226,744,293.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.