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Finding the Third Proportional to 105,788,637 and 160,280,149.50

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Solution

The third proportional to 105,788,637 and 160,280,149.50 is: 242,840,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,788,637 : 160,280,149.50 = 160,280,149.50 : x
  2. Step 2: Convert to fraction form
    105,788,637/160,280,149.50 = 160,280,149.50/x
  3. Step 3: Cross multiply
    105,788,637x = 160,280,149.50 × 160,280,149.50
  4. Step 4: Simplify right side
    105,788,637x = 25,689,726,323,742,352
  5. Step 5: Solve for x
    x = 25,689,726,323,742,352/105,788,637
  6. Step 6: Final answer
    x = 242,840,129.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.