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Finding the Third Proportional to 258,048,139.50 and 409,249,300.50

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Solution

The third proportional to 258,048,139.50 and 409,249,300.50 is: 649,045,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,048,139.50 : 409,249,300.50 = 409,249,300.50 : x
  2. Step 2: Convert to fraction form
    258,048,139.50/409,249,300.50 = 409,249,300.50/x
  3. Step 3: Cross multiply
    258,048,139.50x = 409,249,300.50 × 409,249,300.50
  4. Step 4: Simplify right side
    258,048,139.50x = 167,484,989,959,739,296
  5. Step 5: Solve for x
    x = 167,484,989,959,739,296/258,048,139.50
  6. Step 6: Final answer
    x = 649,045,524.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.