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Finding the Third Proportional to 160,210,089 and 328,913,391

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Solution

The third proportional to 160,210,089 and 328,913,391 is: 675,263,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,089 : 328,913,391 = 328,913,391 : x
  2. Step 2: Convert to fraction form
    160,210,089/328,913,391 = 328,913,391/x
  3. Step 3: Cross multiply
    160,210,089x = 328,913,391 × 328,913,391
  4. Step 4: Simplify right side
    160,210,089x = 108,184,018,779,118,880
  5. Step 5: Solve for x
    x = 108,184,018,779,118,880/160,210,089
  6. Step 6: Final answer
    x = 675,263,458.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.