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Finding the Third Proportional to 59,547,768 and 129,689,986.50

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Solution

The third proportional to 59,547,768 and 129,689,986.50 is: 282,453,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,547,768 : 129,689,986.50 = 129,689,986.50 : x
  2. Step 2: Convert to fraction form
    59,547,768/129,689,986.50 = 129,689,986.50/x
  3. Step 3: Cross multiply
    59,547,768x = 129,689,986.50 × 129,689,986.50
  4. Step 4: Simplify right side
    59,547,768x = 16,819,492,598,370,182
  5. Step 5: Solve for x
    x = 16,819,492,598,370,182/59,547,768
  6. Step 6: Final answer
    x = 282,453,787.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.