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Finding the Third Proportional to 124,363,024.88 and 266,196,097.13

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Solution

The third proportional to 124,363,024.88 and 266,196,097.13 is: 569,786,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,363,024.88 : 266,196,097.13 = 266,196,097.13 : x
  2. Step 2: Convert to fraction form
    124,363,024.88/266,196,097.13 = 266,196,097.13/x
  3. Step 3: Cross multiply
    124,363,024.88x = 266,196,097.13 × 266,196,097.13
  4. Step 4: Simplify right side
    124,363,024.88x = 70,860,362,124,582,432
  5. Step 5: Solve for x
    x = 70,860,362,124,582,432/124,363,024.88
  6. Step 6: Final answer
    x = 569,786,415.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.